Well-Posedness of a Fourth Order of Accuracy Difference Scheme for Bitsadze-Samarskii-Type Problem

Ashyralyev A., Beigmohammadi E. O.

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, vol.38, no.10, pp.1244-1259, 2017 (SCI-Expanded) identifier identifier


In the present study, a fourth order of accuracy difference scheme for the approximate solution of the Bitsadze-Samarskii type nonlocal boundary value problem with the integral condition is investigated. Theorem on well-posedness of the difference scheme in the difference analogue of Holder spaces with a weight is established. In applications, coercive stability estimates for the solutions of difference schemes of nonlocal boundary value problems for elliptic problems are obtained.